Question

how to solve this plz help me out ​

Answer 1

Answer:

/ ABE=40°+80° [sum of interior opposite angles]

/ ABE=120°

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Answer 2

Answer:

∠ABE = 120°

Step-by-step explanation:

If we extend the line segment ED

We will get:-

A point on the line segment CD ,We call it R

So now there is a Δ RED

So,

∠R +∠E+∠D = 180°

=>∠R + 120° = 180°

=> ∠R = 60°

We know that AB║CD

So,

∠R = ∠ABR         ∴Alternate-Interior Angles

=> 60°=∠ABR

So,

∠ABR +∠ABE = 180°                   ∴ Linear Pair

=>60° + ∠ABE = 180°

=> ∠ABE = 120°

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